SINGULAR INTEGRAL-OPERATORS METHOD FOR ANISOTROPIC ELASTIC STRESS-ANALYSIS

The singular integral operators method is introduced for the solution of the anisotropic elastic stress analysis, which defines the main feature of the mechanical behaviour of composites. The proposed method depends on the existence and explicit definition of a fundamental solution to the governing partial differential equations. After the determination of the fundamental solution, a real variable boundary integral formula is generated. Two applications are given to the determination of the fracture behaviour of a circular hole subjected to a uniform boundary shear traction in an infinite and orthotropic solid and the fracture behaviour of the same hole in the centre of a rectangular orthotropic plate, subjected to deformation along its sides.